A. A. Salama; Said Broumi; Florentin Smarandache

Neutrosophic Crisp Open Set and Neutrosophic Crisp Continuity via Neutrosophic Crisp Ideals

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Author(s)

A. A. Salama ^1,* Said Broumi ² Florentin Smarandache ³

1. Department of Mathematics and Computer Science, Faculty of Sciences, Port Said University, 23 December Street, Port Said 42522, Egypt

2. Faculty of Arts and Humanities, Hay El Baraka Ben M'sik Casablanca B.P. 7951, Hassan II University Mohammedia- Casablanca, Morocco

3. Department of Mathematics, University of New Mexico,705 Gurley Avenue, Gallup, NM 87301, USA

* Corresponding author.

DOI: https://doi.org/10.5815/ijieeb.2014.03.01

Received: 26 Feb. 2014 / Revised: 12 Apr. 2014 / Accepted: 2 May 2014 / Published: 8 Jun. 2014

Index Terms

Neutrosophic Crisp Set, Neutrosophic Crisp Ideals, Neutrosophic Crisp L-open Sets, Neutrosophic Crisp L- Continuity, Neutrosophic Sets

Abstract

The focus of this paper is to propose a new notion of neutrosophic crisp sets via neutrosophic crisp ideals and to study some basic operations and results in neutrosophic crisp topological spaces. Also, neutrosophic crisp L-openness and neutrosophic crisp L- continuity are considered as a generalizations for a crisp and fuzzy concepts. Relationships between the above new neutrosophic crisp notions and the other relevant classes are investigated. Finally, we define and study two different types of neutrosophic crisp functions.

Cite This Paper

A. A. Salama, Said Broumi, Florentin Smarandache, "Neutrosophic Crisp Open Set and Neutrosophic Crisp Continuity via Neutrosophic Crisp Ideals", International Journal of Information Engineering and Electronic Business(IJIEEB), vol.6, no.3, pp.1-8, 2014. DOI:10.5815/ijieeb.2014.03.01

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International Journal of Information Engineering and Electronic Business (IJIEEB)